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07 Jan 2020, 05:52
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Difficulty:
45%
(medium)
Question Stats:
62% (01:58) correct
38%
(01:42)
wrong
based on 157
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If n is an integer from 1 to 9. Is n prime?
(1) 1/n is terminating decimal number
(2) 1/n has at least 3 non zero digits on right of decimal
Are You Up For the Challenge: 700 Level Questions
07 Jan 2020, 06:51
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Analyzing the question:
Given n can be 1, 2, 3 ... 8, 9.
Is n equal to either 2, 3, 5, or 7?
Statement 1:
For a decimal to terminate, we cannot divide by 3 or any prime number greater than 6.
If 1/n is terminating we can choose n = 1, 2, 4, 5, 8. Out of these n = 2 and n = 5 are prime but the rest aren't, so insufficient.
Statement 2:
We can get a decimal that terminates but has 3 or more digits on the right of the decimal point, or simply a decimal that doesn't terminate.
n = 3, 6, 7, 9 are nonterminating.
n = 8 gives 3 digits. Out of these n = 3 and n = 7 are prime but the rest aren't, insufficient.
Combined:
n = 8 is the only common number in both, sufficient.
Ans: C
Given n can be 1, 2, 3 ... 8, 9.
Is n equal to either 2, 3, 5, or 7?
Statement 1:
For a decimal to terminate, we cannot divide by 3 or any prime number greater than 6.
If 1/n is terminating we can choose n = 1, 2, 4, 5, 8. Out of these n = 2 and n = 5 are prime but the rest aren't, so insufficient.
Statement 2:
We can get a decimal that terminates but has 3 or more digits on the right of the decimal point, or simply a decimal that doesn't terminate.
n = 3, 6, 7, 9 are nonterminating.
n = 8 gives 3 digits. Out of these n = 3 and n = 7 are prime but the rest aren't, insufficient.
Combined:
n = 8 is the only common number in both, sufficient.
Ans: C
07 Jan 2020, 06:55
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Quote:
n=1,2,3,4,5,6,7,8,9
(1) 1/n is terminating decimal number insufic
1/n=terminating; n=1,2,4,5,8
(2) 1/n has at least 3 non zero digits on right of decimal insufic
1/n=0.ABC…; 1/8=0.125, n=8≠prime; 1/3=0.333, n=3=prime
(1 and 2) sufic
1/n=terminating; n=1,2,4,5,8 but n=0.ABC (not=0)
1/1=1, 1/2=0.5, 1/4=0.25, 1/5=0.2
n=8…1/8=terminating=0.125
Ans (C)
